A large tanker truck for carrying gasoline has a capacity of 3.4⨉10⁴ L. (b) If the retail price of gasoline is \$3.00 per gallon, what is the value of the truck's full load of gasoline?

Name: Chemistry
Author: McMurry
ISBN: 9781292336145

Verified step by step guidance

Convert the capacity of the tanker truck from liters to gallons using the conversion factor: 1 gallon = 3.78541 liters.

Calculate the number of gallons by dividing the total liters (3.4 $\times$ 10^4 L) by the conversion factor (3.78541 L/gallon).

Determine the total value of the gasoline by multiplying the number of gallons by the price per gallon (\$3.00).

Ensure all units are consistent and check calculations for accuracy.

Summarize the process and ensure understanding of each conversion and calculation step.

Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Volume Conversion

To solve the problem, it's essential to convert the volume of gasoline from liters to gallons. The conversion factor is that 1 gallon is approximately 3.78541 liters. Understanding how to perform this conversion is crucial for calculating the total volume of gasoline in gallons.

Unit Pricing

Unit pricing involves determining the cost of a single unit of a product, in this case, the price of gasoline per gallon. Knowing the retail price allows us to calculate the total value of the gasoline by multiplying the total gallons by the price per gallon, which is a fundamental concept in economics and finance.

Multiplication for Total Value

Once the total volume in gallons is determined, the next step is to calculate the total value of the gasoline. This is done by multiplying the total number of gallons by the price per gallon. This concept of multiplication is essential for finding the total cost based on unit price and quantity.

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